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Simplifying -19(k + -992) = 475 Reorder the terms: -19(-992 + k) = 475 (-992 * -19 + k * -19) = 475 (18848 + -19k) = 475 Solving 18848 + -19k = 475 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18848' to each side of the equation. 18848 + -18848 + -19k = 475 + -18848 Combine like terms: 18848 + -18848 = 0 0 + -19k = 475 + -18848 -19k = 475 + -18848 Combine like terms: 475 + -18848 = -18373 -19k = -18373 Divide each side by '-19'. k = 967 Simplifying k = 967
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